10670766040 has 128 divisors (see below), whose sum is σ = 27779526720. Its totient is φ = 3645849600.

The previous prime is 10670766037. The next prime is 10670766083. The reversal of 10670766040 is 4066707601.

It is a super-2 number, since 2×10670766040² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7726150 + ... + 7727530.

Almost surely, 2^10670766040 is an apocalyptic number.

10670766040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10670766040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889763360).

10670766040 is an abundant number, since it is smaller than the sum of its proper divisors (17108760680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10670766040 is a wasteful number, since it uses less digits than its factorization.

10670766040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 10670766040 in words is "ten billion, six hundred seventy million, seven hundred sixty-six thousand, forty".